Number Series Patterns Quiz

Study Notes

Number Series

Number series questions present a sequence of numbers and ask for the next number in the series.
Identifying the pattern is key to solving these questions.
Patterns can be arithmetic (addition/subtraction), geometric (multiplication/division), or a combination of both.
Example: In the series 4, 7, 10, 13, 16, 19, the pattern is adding 3 to each subsequent number. Therefore, the next number is 22.
Understanding the pattern allows you to predict the next number in the series.

Tips for Solving Number Series

Look for differences between consecutive numbers.
Identify the sequence's starting point.
Test for arithmetic or geometric progressions.
Consider alternating patterns (e.g., adding and subtracting)
Examine square, cube, or factorials for more complex patterns.

Practice Problems and Solutions:

Problem 1: 4, 5, 7, 10, 14, ?
- Pattern: The difference between consecutive numbers increases by 1 (2, 3, 4, 5).
- Solution: The next number is 21.
Problem 2: 4, 6, 10, 16, 24, 34, ?
- Pattern: The difference between consecutive numbers increases by 2 (4, 6, 8, 10, 12).
- Solution: The next number is 46.
Problem 3: 103, 88, 101, 90, 99, 92, 97, 94, ?, ?
- Pattern: The series alternates between subtracting 15 and adding 13.
- Solution: The next numbers are 96, 95.
Problem 4: 2, 5, 26, ?
- Pattern: The sequence is based on squaring the previous term and adding one and then multiplying by 2 (2^2 + 1 = 5. 5^2 + 1 = 26.
- Solution: The next term is 677.
Problem 5: 1, 2, 3, 6, 9, 18, -, 54
- Pattern: The sequence involves multiplying by 2 and then 3.
- Solution: The next term is 27.
Problem 6: 0, 10, 24, 68, 120, ?
- Pattern: The differences between consecutive numbers follow a pattern. 10, 14, 44, 52.
- Solution: The next term is 210.
Problem 7: 20:7980::12:?
- Pattern: 20^2 + 20 x 19 = 7980.
- Solution: 1716
Problem 8: 2, 5, 10, 50, 500, ?
- Pattern: Multiply the previous term by 2.5, then by 10, and then by 10
- Solution: The next term is 50,000.
Problem 9: 5, 13, 31, 69, 147, ?
- Pattern: The pattern here is the difference between each term and the next term increases by 8 (8, 18, 38, 78); then, the next term is 305 and the differences between each term and the next term increase by 8 each time (8 18 38 78 158)
- Solution: The next term is 305.
Problem 10: 2, 4, 6, 12, 22, ?
- Pattern: Starting with 2, add consecutive even numbers to the previous term (2 + 2 = 4, 4 + 2 = 6, 6 + 6 = 12, 12 + 10 = 22)
- Solution: The next term is 42.
Problem 11: 4, 10, 22, 46, ?, 190
- Pattern: Add consecutive multiples of 6 (4 10 22 46 94 190)
- Solution: The next term is 94.